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Involutive sweeping surfaces with Frenet frame in Euclidean 3-space

In this paper we first define the involutive sweeping surfaces as a new surface form. We then investigate singularity, Gaussian and mean curvatures of these surfaces. By calculating the Gaussian and mean curvatures of the involutive sweeping surfaces, we find necessary conditions of being flat or mi...

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Detalles Bibliográficos
Autores principales: Köseoğlu, Gökhan, Bilici, Mustafa
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier 2023
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10432968/
https://www.ncbi.nlm.nih.gov/pubmed/37600397
http://dx.doi.org/10.1016/j.heliyon.2023.e18822